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From decision problems to dethroned dictators

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  • Kronewetter, Jason
  • Saari, Donald G.

Abstract

Economic models as well as aggregation and decision problems with "holes" in the domain can be difficult to analyze because, unexpectedly, they are related to Arrow's Impossibility Theorem: embedded within the model may be "topological dictators." But, just as it is possible to remove the negative impact of Arrow's dictator by recognizing that the problem is caused by not using crucial, available information (about voter preferences), the obstacles confronting these economic decision problems can be removed by identifying what kind of available information is not being used.

Suggested Citation

  • Kronewetter, Jason & Saari, Donald G., 2008. "From decision problems to dethroned dictators," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 745-761, July.
    • Handle: RePEc:eee:mateco:v:44:y:2008:i:7-8:p:745-761
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    References listed on IDEAS

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    1. Donald G. Saari, 1997. "Informational geometry of social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(2), pages 211-232.
    2. Chichilnisky, Graciela & Heal, Geoffrey, 1983. "Necessary and sufficient conditions for a resolution of the social choice paradox," Journal of Economic Theory, Elsevier, vol. 31(1), pages 68-87, October.
    3. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521808163.
    4. Saari, Donald G. & Williams, Steven R., 1986. "On the local convergence of economic mechanisms," Journal of Economic Theory, Elsevier, vol. 40(1), pages 152-167, October.
    5. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521004046.
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    Cited by:

    1. Luc Lauwers, 2009. "The topological approach to the aggregation of preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 449-476, September.

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